Search a number
-
+
79314363552 = 2534171283817
BaseRepresentation
bin100100111011110000…
…0010010010010100000
321120201112222010121110
41021313200102102200
52244413434113202
6100234142023320
75505324652344
oct1116740222240
9246645863543
1079314363552
1130700988296
1213456277b40
137630084488
143ba5a9d624
1520e31d726c
hex12778124a0

79314363552 has 96 divisors (see below), whose sum is σ = 216282939264. Its totient is φ = 25429913600.

The previous prime is 79314363529. The next prime is 79314363577. The reversal of 79314363552 is 25536341397.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137548 + ... + 421364.

It is an arithmetic number, because the mean of its divisors is an integer number (2252947284).

Almost surely, 279314363552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79314363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108141469632).

79314363552 is an abundant number, since it is smaller than the sum of its proper divisors (136968575712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79314363552 is a wasteful number, since it uses less digits than its factorization.

79314363552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283942 (or 283934 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 48.

The spelling of 79314363552 in words is "seventy-nine billion, three hundred fourteen million, three hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 71 82 96 123 142 164 213 246 284 328 426 492 568 656 852 984 1136 1312 1704 1968 2272 2911 3408 3936 5822 6816 8733 11644 17466 23288 34932 46576 69864 93152 139728 279456 283817 567634 851451 1135268 1702902 2270536 3405804 4541072 6811608 9082144 11636497 13623216 20151007 23272994 27246432 34909491 40302014 46545988 60453021 69818982 80604028 93091976 120906042 139637964 161208056 186183952 241812084 279275928 322416112 372367904 483624168 558551856 644832224 826191287 967248336 1117103712 1652382574 1934496672 2478573861 3304765148 4957147722 6609530296 9914295444 13219060592 19828590888 26438121184 39657181776 79314363552